Interesting. A quick look at the standard Sam Henry text shows nothing of that name - but it may be in there alright.

Roud's index points to James N Healy's "Old Irish Street Ballads" Vol. 3 where there's a set that matches pretty closely with yours. The town to which the parents followed was Trim, incidentally!

Healy cites a ballad sheet by Brereton, well known Dublin publishers, as his source.